Given a room with n people in it, what is the probability any two will have the same birthday?

January 31, 2012
By

(This article was first published on Jason.Bryer.org Blog - R, and kindly contributed to R-bloggers)

Revisiting a fun puzzle I remember first encountering as an undergraduate. Nice example of creating a plot in R using ggplot2. I also plot the probability of someone in the room having the same birthday as you.

img

## See http://en.wikipedia.org/wiki/Birthday_problem for an explanation  of the problem
require(ggplot2)
require(reshape)

theme_update(panel.background=theme_blank(), 
			 panel.grid.major=theme_blank(), 
			 panel.border=theme_blank())

birthday <- function(n) { 
	1 - exp( - n^2 / (2 * 365) )
}

myBirthday <- function(n) {
	1 - ( (365 - 1) / 365 ) ^ n
}

d = 200
df = data.frame(n=1:d, AnyTwoSame=birthday(1:d), SameAsMine=myBirthday(1:d))
df = melt(df, id.vars='n')

ggplot(df, aes(x=n, y=value, colour=variable)) + geom_line() + scale_colour_hue('') +
	xlab('Number of People in Group') + ylab('Probability')

To leave a comment for the author, please follow the link and comment on their blog: Jason.Bryer.org Blog - R.

R-bloggers.com offers daily e-mail updates about R news and tutorials on topics such as: Data science, Big Data, R jobs, visualization (ggplot2, Boxplots, maps, animation), programming (RStudio, Sweave, LaTeX, SQL, Eclipse, git, hadoop, Web Scraping) statistics (regression, PCA, time series, trading) and more...



If you got this far, why not subscribe for updates from the site? Choose your flavor: e-mail, twitter, RSS, or facebook...

Comments are closed.

Sponsors

Mango solutions



RStudio homepage



Zero Inflated Models and Generalized Linear Mixed Models with R

Dommino data lab

Quantide: statistical consulting and training



http://www.eoda.de







ODSC

ODSC

CRC R books series





Six Sigma Online Training





Contact us if you wish to help support R-bloggers, and place your banner here.

Never miss an update!
Subscribe to R-bloggers to receive
e-mails with the latest R posts.
(You will not see this message again.)

Click here to close (This popup will not appear again)